### Bounds for blow-up time in a semilinear parabolic problem with variable exponents

#### Abstract

This report deals with a blow-up of the solutions to a class of semilinear

parabolic equations with variable exponents nonlinearities. Under some

appropriate assumptions on the given data, more general lower bounds for a

blow-up time are gained if the solutions blow up. This result extends a

recent results by Baghaei Khadijeh et al. \cite{Baghaei}, which confirms the

Lower bounds for the blow-up time of solutions with initial data $\varphi

\left( 0\right) =\int_{\Omega }u_{0}^{k}dx$, $k$=constant.

#### Keywords

#### Full Text:

PDF#### References

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DOI: http://dx.doi.org/10.24193/subbmath.2022.1.13

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